Cremona's table of elliptic curves

6650 = 2 · 5² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 19-	Signs for the Atkin-Lehner involutions
Class	6650v	Isogeny class
Conductor	6650	Conductor
∏ cp	30	Product of Tamagawa factors cp
Δ	-174939386675200 = -1 · 230 · 52 · 73 · 19	Discriminant
Eigenvalues	2-  2 5+ 7+  0 -5 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2923,638041]	[a1,a2,a3,a4,a6]
Generators	[19:758:1]	Generators of the group modulo torsion
j	-110478923954905/6997575467008	j-invariant
L	7.6898701620009	L(r)(E,1)/r!
Ω	0.47187144875062	Real period
R	0.54321787444169	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	53200ck2 59850bj2 6650q2 46550cc2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6650v2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	2	+	+	0	-5	-6	-	-6	6	2	-2	-3	-8	-3	-6	6	-4	-5	-3	10	8	3	9	-2

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Quadratic twists for elliptic curve 6650v2

-4	-3	5	-7	-19
53200ck2	59850bj2	6650q2	46550cc2	126350r2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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